Homework Answers
(a). 4 (15+11+10+13+8+9+5=71; 75-71=4)
(b). 15
(c). 5
(d). 36
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8. In one high school class (75 students) the following information on courses they were enrolled...
A school with 70 students offers three language courses: French, Spanish, and German. 29 students in...
A school with 70 students offers three language courses: French, Spanish, and German. 29 students in total take French, 23 students in total take Spanish, and 22 students in total take German. In addition 9 students in total are taking both French and Spanish, 7 students in total are taking both French and German, and 8 students in total are taking both Spanish and German. Finally, 2 students are taking all three courses. (a) If a student is chosen randomly,...
QUESTION 2 In a survey of 150 NAU students, the following information was obtained: 45 students...
QUESTION 2 In a survey of 150 NAU students, the following information was obtained: 45 students had taken an Accounting class 40 students had taken an Economics class 29 students had taken a Marketing class 15 students had taken both Accounting and Economics 14 students had taken both Economics and Marketing 22 students had taken both Accounting and Marketing 12 students had taken all three classes a. How many students took an Accounting course and a Marketing course, but not...
(5)(3 pts) There are 16 students in a class. Twelve of those students are taking a...
(5)(3 pts) There are 16 students in a class. Twelve of those students are taking a language class, either French, English or Spanish. Seven of the students are taking French, eight are taking English and seven are taking Spanish. Three students are taking French and Spanish, five are taking Spanish and English and four are taking French and English. Use the Principle of Inclusion-Exclusion to find the number of students taking all three courses. Let F, E and S represent...
1. In a high school class of 100 students, 42 studied mathematics, 68 studied psychology, 54...
1. In a high school class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied both mathematics and psychology, 7 studied history but niether mathematics nor pychology, 10 studied all three subjects, and 8 took none of these. Randomly selecting a student from the class, what is the probability of the following event that: (a) a person enrolled in psychology takes all three subjects. (b) a person not taking...
In the United States, Scholastic Aptitude Test (SAT) scores are used by universities when selecting students for admission. Private companies and high schools offer SAT preparatory courses to help st...
In the United States, Scholastic Aptitude Test (SAT) scores are used by universities when selecting students for admission. Private companies and high schools offer SAT preparatory courses to help students improve their scores. This has led some people to ask, "Do SAT preparatory classes effectively increase SAT scores?" The following study, cited in a major newspaper, claims that they do (but not by a substantial amount): "A new study . . . shows that [SAT preparatory] classes are effective in...
(10 points) 6. At Wassamata U, Bullwinkle did a survey of 150 of his fellow graduates....
(10 points) 6. At Wassamata U, Bullwinkle did a survey of 150 of his fellow graduates. He found that 64 had taken a math class. 53 a chemistry class, and 60 a physics class. He also found 23 took both math and chemistry, 24 took chemistry and physics, 29 took math and physics while 10 took all 3 of the subjects. Complete the Venn diagram a) Wassamatta U Chemistry Math Physics How many students took only two of the three...
1. An elementary school is offering 3 language classes: one in Spanish, one in French, and...
1. An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 104 students in the school. There are 43 in the Spanish class, 34 in the French class, and 24 in the German class. There are 17 students that in both Spanish and French, 6 are in both Spanish and German, and 9 are in both French and German. In addition, there are 4...
In a "Probability and Statistics for CS" class with 160 students enrolled in it, by the...
In a "Probability and Statistics for CS" class with 160 students enrolled in it, by the time of the final exam, 60% of the students have mastered discrete probabilities, 75% have mastered continuous probabilities, and 50% have mastered both. For a student to pass the class with at least a C, the student must be able to use at least one type of probabilities. How many students passed the class? (Probability Theory)
Suppose you have two eleventh grade american history classes at a particular high school. One is...
Suppose you have two eleventh grade american history classes at a particular high school. One is taught by Mr. Knight and one is taught by Ms. Princess. Mr. Knight's class has 30 students in it and Ms. Princesses has 26 students. A common exam was given to both classes, Mr. Knight's class had a median score of 80 and Ms. Princesses class has a median score of 70. What can you say about the median score of the classes when...
In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and...
In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that (a) the student took mathematics or history; (b) the student did not take either of these subjects; (c) the student took history but not mathematics. . . . The probability that a married man watches a certain television show is 0.4, and the probability that...
QUESTION 2 In a survey of 150 NAU students, the following information was obtained: 45 students had taken an Accounting class 40 students had taken an Economics class 29 students had taken a Marketing class 15 students had taken both Accounting and Economics 14 students had taken both Economics and Marketing 22 students had taken both Accounting and Marketing 12 students had taken all three classes a. How many students took an Accounting course and a Marketing course, but not...
(5)(3 pts) There are 16 students in a class. Twelve of those students are taking a language class, either French, English or Spanish. Seven of the students are taking French, eight are taking English and seven are taking Spanish. Three students are taking French and Spanish, five are taking Spanish and English and four are taking French and English. Use the Principle of Inclusion-Exclusion to find the number of students taking all three courses. Let F, E and S represent...
In the United States, Scholastic Aptitude Test (SAT) scores are used by universities when selecting students for admission. Private companies and high schools offer SAT preparatory courses to help students improve their scores. This has led some people to ask, "Do SAT preparatory classes effectively increase SAT scores?" The following study, cited in a major newspaper, claims that they do (but not by a substantial amount): "A new study . . . shows that [SAT preparatory] classes are effective in...
(10 points) 6. At Wassamata U, Bullwinkle did a survey of 150 of his fellow graduates. He found that 64 had taken a math class. 53 a chemistry class, and 60 a physics class. He also found 23 took both math and chemistry, 24 took chemistry and physics, 29 took math and physics while 10 took all 3 of the subjects. Complete the Venn diagram a) Wassamatta U Chemistry Math Physics How many students took only two of the three...
In a "Probability and Statistics for CS" class with 160 students enrolled in it, by the time of the final exam, 60% of the students have mastered discrete probabilities, 75% have mastered continuous probabilities, and 50% have mastered both. For a student to pass the class with at least a C, the student must be able to use at least one type of probabilities. How many students passed the class? (Probability Theory)
In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that (a) the student took mathematics or history; (b) the student did not take either of these subjects; (c) the student took history but not mathematics. . . . The probability that a married man watches a certain television show is 0.4, and the probability that...
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